Search a number
-
+
1095648 = 253101113
BaseRepresentation
bin100001011011111100000
32001122221120
410023133200
5240030043
635252240
712212211
oct4133740
92048846
101095648
116891a4
1244a080
132c4918
14207408
15169983
hex10b7e0

1095648 has 48 divisors (see below), whose sum is σ = 2930256. Its totient is φ = 358400.

The previous prime is 1095631. The next prime is 1095671. The reversal of 1095648 is 8465901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9640 + ... + 9752.

It is an arithmetic number, because the mean of its divisors is an integer number (61047).

21095648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465128).

1095648 is an abundant number, since it is smaller than the sum of its proper divisors (1834608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1095648 is a wasteful number, since it uses less digits than its factorization.

1095648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1095648 is about 1046.7320574053. The cubic root of 1095648 is about 103.0916957653.

The spelling of 1095648 in words is "one million, ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 113 202 226 303 339 404 452 606 678 808 904 1212 1356 1616 1808 2424 2712 3232 3616 4848 5424 9696 10848 11413 22826 34239 45652 68478 91304 136956 182608 273912 365216 547824 1095648